In order to study the dark matter phenomenology, the most relevant part of the Lagrangian in the theories proposed in Refs. [1]}, [2]} is given by
\( {\cal {L}} &\supset & \frac{3}{4} g_B \bar{\chi } \gamma ^\mu \gamma ^5 \chi Z^B_\mu - \frac{1}{3} g_B \bar{q} \gamma ^\mu q Z^B_\mu + \frac{ M_\chi }{2 v_B} \sin \theta _B \bar{\chi } \chi h_1 - \frac{M_\chi }{2 v_B} \cos \theta _B \bar{\chi } \chi h_2 - \frac{1}{2} M_\chi {\bar{\chi }} \chi ,\) 
